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On (A={1,2,3}), (R={(a,b):|a-b|>0}) is given. What is (R)?

Answer and explanation

Correct answer: Not reflexive because (|a-a|=0)

Step 1: In a diagonal pair, both entries are the same. Step 2: Therefore (|a-a|=0), which is not greater than (0). Step 3: Conditions like (>0) often remove self-related pairs.

Related tags

RelationsFunctionsReflexive RelationAbsolute DifferenceHardReflexive RelationRelations And FunctionsMathematics

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